Estimation of effective temperatures in quantum annealers for sampling applications: A case study with possible applications in deep learning

M Benedetti, J Realpe-Gómez, R Biswas… - Physical Review A, 2016 - APS
An increase in the efficiency of sampling from Boltzmann distributions would have a
significant impact on deep learning and other machine-learning applications. Recently …

Dense Hebbian neural networks: a replica symmetric picture of supervised learning

E Agliari, L Albanese, F Alemanno… - Physica A: Statistical …, 2023 - Elsevier
We consider dense, associative neural-networks trained by a teacher (ie, with supervision)
and we investigate their computational capabilities analytically, via statistical-mechanics …

Efficient distributed density peaks for clustering large data sets in mapreduce

Y Zhang, S Chen, G Yu - IEEE Transactions on Knowledge and …, 2016 - ieeexplore.ieee.org
Density Peaks (DP) is a recently proposed clustering algorithm that has distinctive
advantages over existing clustering algorithms. It has already been used in a wide range of …

[HTML][HTML] Hopfield model with planted patterns: A teacher-student self-supervised learning model

F Alemanno, L Camanzi, G Manzan… - Applied Mathematics and …, 2023 - Elsevier
While Hopfield networks are known as paradigmatic models for memory storage and
retrieval, modern artificial intelligence systems mainly stand on the machine learning …

Learning phase transitions from regression uncertainty: a new regression-based machine learning approach for automated detection of phases of matter

W Guo, L He - New Journal of Physics, 2023 - iopscience.iop.org
For performing regression tasks involved in various physics problems, enhancing the
precision or equivalently reducing the uncertainty of regression results is undoubtedly one of …

Dense Hebbian neural networks: A replica symmetric picture of unsupervised learning

E Agliari, L Albanese, F Alemanno… - Physica A: Statistical …, 2023 - Elsevier
We consider dense, associative neural-networks trained with no supervision and we
investigate their computational capabilities analytically, via statistical-mechanics tools, and …

Inverse problem beyond two-body interaction: The cubic mean-field Ising model

P Contucci, G Osabutey, C Vernia - Physical Review E, 2023 - APS
In this paper, we solve the inverse problem for the cubic mean-field Ising model. Starting
from configuration data generated according to the distribution of the model, we reconstruct …

[HTML][HTML] Neural activity in quarks language: Lattice Field Theory for a network of real neurons

G Bardella, S Franchini, L Pan, R Balzan, S Ramawat… - Entropy, 2024 - mdpi.com
Brain–computer interfaces have seen extraordinary surges in developments in recent years,
and a significant discrepancy now exists between the abundance of available data and the …

Inverse problems for structured datasets using parallel TAP equations and restricted Boltzmann machines

A Decelle, S Hwang, J Rocchi, D Tantari - Scientific Reports, 2021 - nature.com
We propose an efficient algorithm to solve inverse problems in the presence of binary
clustered datasets. We consider the paradigmatic Hopfield model in a teacher student …

Inverse problem for the quartic mean-field Ising model

RK Ansah, RK Boadi, W Obeng-Denteh… - The European Physical …, 2023 - Springer
This paper presents a thorough examination of the thermodynamic limit of the pressure
function for the mean-field Ising model with four-body interaction. By utilizing a standard …